作者joantu (猜猜)
看板NCCU07_Eco
標題[提供] 徐麗振財政學3/24作業題目
時間Wed Mar 24 19:24:38 2010
聽說很多人都沒有買課本
所以我就把題目PO上來給大家啦~
4/7(三)要交喔^_^
註:這個顏色"
--"表示該字為上標,例如Q
D,就是指需求的數量,
D為上標這樣:)
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Chapter14 Taxation and Income Distribution (P.330)
5.In an effort to reduce alcohol consumption, the government is considering
a $1 tax on each gallon of liquor sold (the tax is levied on producers).
Suppose that the demand curve is Q
D=500,000-20,000P (where Q
D is the number
of gallons of liquor demanded and P is the price per gallon), and the supply
curve for liquor is Q
s=30,000P (where Q
s is the number of gallons supplied).
a. Compute how the tax affects the price paid by consumers and the price
received by producers.
b. How much revenue does the tax raise for the government? How much of the
revenue comes from consumers, and how much from producers?
c. Suppose that the demand for liquor is more elastic for younger drinkers
than for older drinkers. Will the liquor tax be more, less, or equally
effective at reducing liquor consumption among young drinkers? Explain.
6.Suppose that the demand curve for a particular commodity is O
D=a-bP, where
Q
D is the quantity demanded, P is the price, and a and b are constants.
The supply curve for the commodity is Q
s=c+dP, where Q
s is quantity supplied
and c and d are constants. Find the equilibrium price and output as
functions of the constants a, b, c, and d.
Suppose now that a unit tax of
u dollars is imposed on the commodity. Show
that the new equilibrium is the same regardless of whether the tax is
imposed on producers or buyers of the commodity.
7.Suppose that the income tax in a certain nation is computed as a flat rate
of 5 percent, but no tax is levied above $50,000 in taxable income. Taxable
income, in turn, is computed as the individual's income minus $10,000;
that is, everyone gets a $10,000 deduction. What are the marginal and
average tax rates for each of the following three workers?
(Evaluate the marginal tax rate at each person's current income level.)
a. A part-time worker with annual income of $9,000.
b. A retail salesperson with annual income of $45,000.
c. An advertising executive with annual income of $600,000.
Is the tax progressive, proportional, or regressive with respect to income?
8.Assume that in a given country, tax revenues, T, depend on income, I,
according to the formula
T=-4,000+0.2I
Thus, for example, when a household has an income of $50,000, its tax burden
is -4,000+0.2×50,000, or $6,000. Is this a progressive tax schedule?
[Hint: Compute average tax rates at several different levels of income.]
Now let's generalize the tax schedule in this problem to:
T=a+tI
where
a and
t are numbers. (For example, in the tax schedule above, a=-4,000
and t=0.2.) Write down a formula for the average tax rate as a function of
the level of income. Show that the tax system is progressive if
a is
negative, and regressive if
a is positive.
[Hint: The average tax rate is T/I.]
以上(∩_∩)
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